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Finding the Fourth Proportional to 656,879.42, 906,516 and 381,216.06

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Solution

The fourth proportional to 656,879.42, 906,516 and 381,216.06 is: 526,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,879.42 : 906,516 = 381,216.06 : x
  2. Step 2: Convert to fraction form
    656,879.42/906,516 = 381,216.06/x
  3. Step 3: Cross multiply
    656,879.42x = 906,516 × 381,216.06
  4. Step 4: Simplify right side
    656,879.42x = 345,578,457,846.96
  5. Step 5: Solve for x
    x = 345,578,457,846.96/656,879.42
  6. Step 6: Final answer
    x = 526,091.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.